Muzzle brake on a .223 is not required, but may help you stay on target through the scope. My savage came with one preinstalled.
Bipods, you can get $15 ebay specials, harris models from $60, and brands i don't even know because some cost more than some of my rifles. I would be fine with a Harris on almost any rifle, and harris is my preference. Most inexpensive bipods seem to be harris clones/wannabes. I typically get the 6-9" model, though I do also have a 9-13". I always leave my bipods on the guns, I do not swap them around. If you expect to swap to different rifles often, I strongly suggest only going with Harris or better.
In terms of price, best cheap one I have is marked VLIFE and has a C and backward nested c inside it to left of VLIFE. Believe I got it off ebay from ecop, but may have been from elsewhere. Think it was under $20, and its the best cheap one I have owned.
Next step up is Champion, which are very similar to Harris, and should run around $30-40 IIRC.
Harris benchrest models are on a few of my guns. If you will be shooting from uneven terrain, there is a tilting model, but i would avoid that if only being used on a bench. Fit and finish, and overall quality of Harris is nicest, as one would expect since they start around $60, but they feel tighter, stronger, and better made.
Avoid Leapers/UTG brand, and clones that look like them. They are crap, poorly designed and pot metal parts far as I can tell, and made for airsoft.
Other cheap ebay/amazon bipods will be hit or miss. Most will not secure well, due to design or materials used, so you may be tightening the tension screw for the sling stud often. I usually end up adding nuts to the tension screw to prevent creep.
All that said, even the cheapest bipods I have used work OK enough for bench shooting smaller calibers. If money were not an issue, I would run only Harris until I got a rifle worthy of/designed for a more expensive bipod.